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arsen [322]
3 years ago
6

See attachment below!!!!

Mathematics
2 answers:
german3 years ago
8 0

Answer:

-6

Step-by-step explanation:

Simplifying it the most gets it to -6

liubo4ka [24]3 years ago
3 0

Answer: Third option.

Step-by-step explanation:

We need to remember these properties:

log_b(a)^n=nlog_b(a)\\\\log_b(b)=1\\\\\frac{1}{a}=a^{-1}

Then, given the following expression:

log_2(\frac{1}{64} )

You need to:

- Descompose 64 into its prime factors:

64=2*2*2*2*2*2=2^6

- Substitute:

log_2(\frac{1}{2^6} )

- Apply the properties shown above:

log_2(2)^{-6}=-6log_2(2)=-6(1)=-6

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